OK the most serious error was to not seat he tire evenly before inflating. After mounting a tire, inflate enough to fill the tire out and give it shape. Then spin the wheel slowly and look at the molded reference line just above the rim's edge. It's there as a guide "reference" to let you know if the tire is seated evenly. Unevenly seated tires blow off, so this is a critical step.
Now to make it easier, inflate the tube with 3psi or so so it fills out but doesn't stretch, then stuff it into the tire. Opinions vary, and either is right, so you can do this before mounting the tire at all, or after mounting the first side of the tire. (I do it before mounting).
Skipping to the end, mount the second side of the tire starting opposite the valve, and working in both directions working to the valve. Be sure to push the tire to the middle of the rim where it's deepest, and push the slack ahead of you as you go. (this often calls for letting air back out of then tube, so it's limp). Finish mounting at the valve, being careful not to pinch the tube, then push the valve deep into the tire to pull he tube out from under the tie's bead where it might be trapped. Pull the valve back down, inflate to 10psi, and check/fix the seating. Then inflate to 25psi, and check again (just in case) before topping to full pressure.
check all the way aro
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